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78113980 = 225717231427
BaseRepresentation
bin1001010011111…
…10110010111100
312102222121020101
410221332302330
5124444121410
611430130444
71635646360
oct451766274
9172877211
1078113980
114010320a
12221b0a24
131324cab9
14a5352a0
156cced3a
hex4a7ecbc

78113980 has 96 divisors (see below), whose sum is σ = 207277056. Its totient is φ = 24093696.

The previous prime is 78113951. The next prime is 78113983. The reversal of 78113980 is 8931187.

It is a super-2 number, since 2×781139802 = 12203587742880800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78113983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54027 + ... + 55453.

It is an arithmetic number, because the mean of its divisors is an integer number (2159136).

Almost surely, 278113980 is an apocalyptic number.

78113980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78113980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103638528).

78113980 is an abundant number, since it is smaller than the sum of its proper divisors (129163076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78113980 is a wasteful number, since it uses less digits than its factorization.

78113980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 78113980 is about 8838.2113575089. The cubic root of 78113980 is about 427.4738855268.

The spelling of 78113980 in words is "seventy-eight million, one hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 322 340 391 460 476 595 644 782 805 1190 1427 1564 1610 1955 2380 2737 2854 3220 3910 5474 5708 7135 7820 9989 10948 13685 14270 19978 24259 27370 28540 32821 39956 48518 49945 54740 65642 97036 99890 121295 131284 164105 169813 199780 229747 242590 328210 339626 459494 485180 557957 656420 679252 849065 918988 1115914 1148735 1698130 2231828 2297470 2789785 3396260 3905699 4594940 5579570 7811398 11159140 15622796 19528495 39056990 78113980